If `(x)/(2a-3b)=(y)/(3b-4c)=(z)/(4c-2a)`, then find the value of `x^(3)+y^(3)+z^(3)`.

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If `(x)/(2a-3b)=(y)/(3b-4c)=(z)/(4c-2a)`, then find the value of `x^(3)+y^(3)+z^(3)`.

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